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zmey [24]
3 years ago
10

What is the length of EF in the triangle? Show your work. HELP!

Mathematics
1 answer:
Zinaida [17]3 years ago
8 0

The length of EF in the given triangle is 8.80 m.

Step-by-step explanation:

Step 1:

In the given triangle, the opposite side's length is 16.2 m, the adjacent side's length is x m while the triangle's hypotenuse measures 16.2 m units.

The angle given is 90°, this makes the triangle a right-angled triangle.

So first we calculate the angle of E and use that to find x.

Step 2:

As we have the values of the length of the opposite side and the hypotenuse, we can calculate the sine of the angle to determine the value of the angle of E.

sinE = \frac{oppositeside}{hypotenuse}  =\frac{13.6}{16.2} = 0.8395.

E = sin^{-1} (0.8395), E = 57.087.

So the angle E of the triangle DEF is 57.087°.

Step 3:

As we have the values of the angle and the hypotenuse, we can calculate the cos of the angle to determine x.

cos E = \frac{adjacentside}{hypotenuse} = \frac{x}{16.2} .

cos(57.087) = 0.5433, x = 16.2 (0.5433) = 8.8014.

Rounding this off to the nearest hundredth, we get x = 8.80 m.

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CaHeK987 [17]

Answer:

x = -10

Step-by-step explanation:

expand

simplify 36 - 4.5x + 36 to -4.5x + 72

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simplify -4.5x + 72 + 7.5x to 3x + 72

subtract 72 from both sides

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Answer:

(c)

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Step-by-step explanation:

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That is completely correct Remember that if  v = (x_1,x_2,x_3)\\ then

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Therefore the correct answer would be (c).

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The critical points of the function graphed are given as follows:

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<h3>What are the critical points of a function?</h3>

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In a graph, they are turning points, and are classified as follows:

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Answer:

Step-by-step explanation:

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CaHeK987 [17]

Answer:

Hope this helps :)

Step-by-step explanation:

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